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Finding the Third Proportional to 93,642 and 205,332

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Solution

The third proportional to 93,642 and 205,332 is: 450,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,642 : 205,332 = 205,332 : x
  2. Step 2: Convert to fraction form
    93,642/205,332 = 205,332/x
  3. Step 3: Cross multiply
    93,642x = 205,332 × 205,332
  4. Step 4: Simplify right side
    93,642x = 42,161,230,224
  5. Step 5: Solve for x
    x = 42,161,230,224/93,642
  6. Step 6: Final answer
    x = 450,238.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.